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Finding the Fourth Proportional to 433,997.10, 598,360.78 and 297,794.52

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Solution

The fourth proportional to 433,997.10, 598,360.78 and 297,794.52 is: 410,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,997.10 : 598,360.78 = 297,794.52 : x
  2. Step 2: Convert to fraction form
    433,997.10/598,360.78 = 297,794.52/x
  3. Step 3: Cross multiply
    433,997.10x = 598,360.78 × 297,794.52
  4. Step 4: Simplify right side
    433,997.10x = 178,188,561,266.93
  5. Step 5: Solve for x
    x = 178,188,561,266.93/433,997.10
  6. Step 6: Final answer
    x = 410,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.